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Simplifying 0.75(8z + -12) = 0.67(36z + 12) Reorder the terms: 0.75(-12 + 8z) = 0.67(36z + 12) (-12 * 0.75 + 8z * 0.75) = 0.67(36z + 12) (-9 + 6z) = 0.67(36z + 12) Reorder the terms: -9 + 6z = 0.67(12 + 36z) -9 + 6z = (12 * 0.67 + 36z * 0.67) -9 + 6z = (8.04 + 24.12z) Solving -9 + 6z = 8.04 + 24.12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24.12z' to each side of the equation. -9 + 6z + -24.12z = 8.04 + 24.12z + -24.12z Combine like terms: 6z + -24.12z = -18.12z -9 + -18.12z = 8.04 + 24.12z + -24.12z Combine like terms: 24.12z + -24.12z = 0.00 -9 + -18.12z = 8.04 + 0.00 -9 + -18.12z = 8.04 Add '9' to each side of the equation. -9 + 9 + -18.12z = 8.04 + 9 Combine like terms: -9 + 9 = 0 0 + -18.12z = 8.04 + 9 -18.12z = 8.04 + 9 Combine like terms: 8.04 + 9 = 17.04 -18.12z = 17.04 Divide each side by '-18.12'. z = -0.940397351 Simplifying z = -0.940397351
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