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Simplifying 3(5 + -1z) + -27 = 17z + -4(3 + 5z) (5 * 3 + -1z * 3) + -27 = 17z + -4(3 + 5z) (15 + -3z) + -27 = 17z + -4(3 + 5z) Reorder the terms: 15 + -27 + -3z = 17z + -4(3 + 5z) Combine like terms: 15 + -27 = -12 -12 + -3z = 17z + -4(3 + 5z) -12 + -3z = 17z + (3 * -4 + 5z * -4) -12 + -3z = 17z + (-12 + -20z) Reorder the terms: -12 + -3z = -12 + 17z + -20z Combine like terms: 17z + -20z = -3z -12 + -3z = -12 + -3z Add '12' to each side of the equation. -12 + 12 + -3z = -12 + 12 + -3z Combine like terms: -12 + 12 = 0 0 + -3z = -12 + 12 + -3z -3z = -12 + 12 + -3z Combine like terms: -12 + 12 = 0 -3z = 0 + -3z -3z = -3z Add '3z' to each side of the equation. -3z + 3z = -3z + 3z Combine like terms: -3z + 3z = 0 0 = -3z + 3z Combine like terms: -3z + 3z = 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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