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Simplifying -5 + -9(2z + 3) = -8(4z + 6) + -9 Reorder the terms: -5 + -9(3 + 2z) = -8(4z + 6) + -9 -5 + (3 * -9 + 2z * -9) = -8(4z + 6) + -9 -5 + (-27 + -18z) = -8(4z + 6) + -9 Combine like terms: -5 + -27 = -32 -32 + -18z = -8(4z + 6) + -9 Reorder the terms: -32 + -18z = -8(6 + 4z) + -9 -32 + -18z = (6 * -8 + 4z * -8) + -9 -32 + -18z = (-48 + -32z) + -9 Reorder the terms: -32 + -18z = -48 + -9 + -32z Combine like terms: -48 + -9 = -57 -32 + -18z = -57 + -32z Solving -32 + -18z = -57 + -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. -32 + -18z + 32z = -57 + -32z + 32z Combine like terms: -18z + 32z = 14z -32 + 14z = -57 + -32z + 32z Combine like terms: -32z + 32z = 0 -32 + 14z = -57 + 0 -32 + 14z = -57 Add '32' to each side of the equation. -32 + 32 + 14z = -57 + 32 Combine like terms: -32 + 32 = 0 0 + 14z = -57 + 32 14z = -57 + 32 Combine like terms: -57 + 32 = -25 14z = -25 Divide each side by '14'. z = -1.785714286 Simplifying z = -1.785714286
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