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Simplifying 6az + -15z + 5 + -2a = (2a + -5)(3z + -1) Reorder the terms: 5 + -2a + 6az + -15z = (2a + -5)(3z + -1) Reorder the terms: 5 + -2a + 6az + -15z = (-5 + 2a)(3z + -1) Reorder the terms: 5 + -2a + 6az + -15z = (-5 + 2a)(-1 + 3z) Multiply (-5 + 2a) * (-1 + 3z) 5 + -2a + 6az + -15z = (-5(-1 + 3z) + 2a * (-1 + 3z)) 5 + -2a + 6az + -15z = ((-1 * -5 + 3z * -5) + 2a * (-1 + 3z)) 5 + -2a + 6az + -15z = ((5 + -15z) + 2a * (-1 + 3z)) 5 + -2a + 6az + -15z = (5 + -15z + (-1 * 2a + 3z * 2a)) 5 + -2a + 6az + -15z = (5 + -15z + (-2a + 6az)) Reorder the terms: 5 + -2a + 6az + -15z = (5 + -2a + 6az + -15z) 5 + -2a + 6az + -15z = (5 + -2a + 6az + -15z) Add '-5' to each side of the equation. 5 + -2a + 6az + -5 + -15z = 5 + -2a + 6az + -5 + -15z Reorder the terms: 5 + -5 + -2a + 6az + -15z = 5 + -2a + 6az + -5 + -15z Combine like terms: 5 + -5 = 0 0 + -2a + 6az + -15z = 5 + -2a + 6az + -5 + -15z -2a + 6az + -15z = 5 + -2a + 6az + -5 + -15z Reorder the terms: -2a + 6az + -15z = 5 + -5 + -2a + 6az + -15z Combine like terms: 5 + -5 = 0 -2a + 6az + -15z = 0 + -2a + 6az + -15z -2a + 6az + -15z = -2a + 6az + -15z Add '2a' to each side of the equation. -2a + 6az + 2a + -15z = -2a + 6az + 2a + -15z Reorder the terms: -2a + 2a + 6az + -15z = -2a + 6az + 2a + -15z Combine like terms: -2a + 2a = 0 0 + 6az + -15z = -2a + 6az + 2a + -15z 6az + -15z = -2a + 6az + 2a + -15z Reorder the terms: 6az + -15z = -2a + 2a + 6az + -15z Combine like terms: -2a + 2a = 0 6az + -15z = 0 + 6az + -15z 6az + -15z = 6az + -15z Add '-6az' to each side of the equation. 6az + -6az + -15z = 6az + -6az + -15z Combine like terms: 6az + -6az = 0 0 + -15z = 6az + -6az + -15z -15z = 6az + -6az + -15z Combine like terms: 6az + -6az = 0 -15z = 0 + -15z -15z = -15z Add '15z' to each side of the equation. -15z + 15z = -15z + 15z Combine like terms: -15z + 15z = 0 0 = -15z + 15z Combine like terms: -15z + 15z = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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