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Simplifying 3(5z + -7) + 2(9z + -11) = 4(8z + -7) + -111 Reorder the terms: 3(-7 + 5z) + 2(9z + -11) = 4(8z + -7) + -111 (-7 * 3 + 5z * 3) + 2(9z + -11) = 4(8z + -7) + -111 (-21 + 15z) + 2(9z + -11) = 4(8z + -7) + -111 Reorder the terms: -21 + 15z + 2(-11 + 9z) = 4(8z + -7) + -111 -21 + 15z + (-11 * 2 + 9z * 2) = 4(8z + -7) + -111 -21 + 15z + (-22 + 18z) = 4(8z + -7) + -111 Reorder the terms: -21 + -22 + 15z + 18z = 4(8z + -7) + -111 Combine like terms: -21 + -22 = -43 -43 + 15z + 18z = 4(8z + -7) + -111 Combine like terms: 15z + 18z = 33z -43 + 33z = 4(8z + -7) + -111 Reorder the terms: -43 + 33z = 4(-7 + 8z) + -111 -43 + 33z = (-7 * 4 + 8z * 4) + -111 -43 + 33z = (-28 + 32z) + -111 Reorder the terms: -43 + 33z = -28 + -111 + 32z Combine like terms: -28 + -111 = -139 -43 + 33z = -139 + 32z Solving -43 + 33z = -139 + 32z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-32z' to each side of the equation. -43 + 33z + -32z = -139 + 32z + -32z Combine like terms: 33z + -32z = 1z -43 + 1z = -139 + 32z + -32z Combine like terms: 32z + -32z = 0 -43 + 1z = -139 + 0 -43 + 1z = -139 Add '43' to each side of the equation. -43 + 43 + 1z = -139 + 43 Combine like terms: -43 + 43 = 0 0 + 1z = -139 + 43 1z = -139 + 43 Combine like terms: -139 + 43 = -96 1z = -96 Divide each side by '1'. z = -96 Simplifying z = -96
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