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Simplifying -7 + 18z + 3 = 2(12z + -15) + -10 Reorder the terms: -7 + 3 + 18z = 2(12z + -15) + -10 Combine like terms: -7 + 3 = -4 -4 + 18z = 2(12z + -15) + -10 Reorder the terms: -4 + 18z = 2(-15 + 12z) + -10 -4 + 18z = (-15 * 2 + 12z * 2) + -10 -4 + 18z = (-30 + 24z) + -10 Reorder the terms: -4 + 18z = -30 + -10 + 24z Combine like terms: -30 + -10 = -40 -4 + 18z = -40 + 24z Solving -4 + 18z = -40 + 24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24z' to each side of the equation. -4 + 18z + -24z = -40 + 24z + -24z Combine like terms: 18z + -24z = -6z -4 + -6z = -40 + 24z + -24z Combine like terms: 24z + -24z = 0 -4 + -6z = -40 + 0 -4 + -6z = -40 Add '4' to each side of the equation. -4 + 4 + -6z = -40 + 4 Combine like terms: -4 + 4 = 0 0 + -6z = -40 + 4 -6z = -40 + 4 Combine like terms: -40 + 4 = -36 -6z = -36 Divide each side by '-6'. z = 6 Simplifying z = 6
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