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Simplifying -4(z + -5) + -1z = -5(z + 3) + 35 Reorder the terms: -4(-5 + z) + -1z = -5(z + 3) + 35 (-5 * -4 + z * -4) + -1z = -5(z + 3) + 35 (20 + -4z) + -1z = -5(z + 3) + 35 Combine like terms: -4z + -1z = -5z 20 + -5z = -5(z + 3) + 35 Reorder the terms: 20 + -5z = -5(3 + z) + 35 20 + -5z = (3 * -5 + z * -5) + 35 20 + -5z = (-15 + -5z) + 35 Reorder the terms: 20 + -5z = -15 + 35 + -5z Combine like terms: -15 + 35 = 20 20 + -5z = 20 + -5z Add '-20' to each side of the equation. 20 + -20 + -5z = 20 + -20 + -5z Combine like terms: 20 + -20 = 0 0 + -5z = 20 + -20 + -5z -5z = 20 + -20 + -5z Combine like terms: 20 + -20 = 0 -5z = 0 + -5z -5z = -5z Add '5z' to each side of the equation. -5z + 5z = -5z + 5z Combine like terms: -5z + 5z = 0 0 = -5z + 5z Combine like terms: -5z + 5z = 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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