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Simplifying -1(8z + 1) + 9 = 2(-4z + 5) + -2 Reorder the terms: -1(1 + 8z) + 9 = 2(-4z + 5) + -2 (1 * -1 + 8z * -1) + 9 = 2(-4z + 5) + -2 (-1 + -8z) + 9 = 2(-4z + 5) + -2 Reorder the terms: -1 + 9 + -8z = 2(-4z + 5) + -2 Combine like terms: -1 + 9 = 8 8 + -8z = 2(-4z + 5) + -2 Reorder the terms: 8 + -8z = 2(5 + -4z) + -2 8 + -8z = (5 * 2 + -4z * 2) + -2 8 + -8z = (10 + -8z) + -2 Reorder the terms: 8 + -8z = 10 + -2 + -8z Combine like terms: 10 + -2 = 8 8 + -8z = 8 + -8z Add '-8' to each side of the equation. 8 + -8 + -8z = 8 + -8 + -8z Combine like terms: 8 + -8 = 0 0 + -8z = 8 + -8 + -8z -8z = 8 + -8 + -8z Combine like terms: 8 + -8 = 0 -8z = 0 + -8z -8z = -8z Add '8z' to each side of the equation. -8z + 8z = -8z + 8z Combine like terms: -8z + 8z = 0 0 = -8z + 8z Combine like terms: -8z + 8z = 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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