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Simplifying 8(z + -3) + z = 9(z + -4) + 12 Reorder the terms: 8(-3 + z) + z = 9(z + -4) + 12 (-3 * 8 + z * 8) + z = 9(z + -4) + 12 (-24 + 8z) + z = 9(z + -4) + 12 Combine like terms: 8z + z = 9z -24 + 9z = 9(z + -4) + 12 Reorder the terms: -24 + 9z = 9(-4 + z) + 12 -24 + 9z = (-4 * 9 + z * 9) + 12 -24 + 9z = (-36 + 9z) + 12 Reorder the terms: -24 + 9z = -36 + 12 + 9z Combine like terms: -36 + 12 = -24 -24 + 9z = -24 + 9z Add '24' to each side of the equation. -24 + 24 + 9z = -24 + 24 + 9z Combine like terms: -24 + 24 = 0 0 + 9z = -24 + 24 + 9z 9z = -24 + 24 + 9z Combine like terms: -24 + 24 = 0 9z = 0 + 9z 9z = 9z Add '-9z' to each side of the equation. 9z + -9z = 9z + -9z Combine like terms: 9z + -9z = 0 0 = 9z + -9z Combine like terms: 9z + -9z = 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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