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Simplifying -6(6z + 8) + 5(z + -3) = 0 Reorder the terms: -6(8 + 6z) + 5(z + -3) = 0 (8 * -6 + 6z * -6) + 5(z + -3) = 0 (-48 + -36z) + 5(z + -3) = 0 Reorder the terms: -48 + -36z + 5(-3 + z) = 0 -48 + -36z + (-3 * 5 + z * 5) = 0 -48 + -36z + (-15 + 5z) = 0 Reorder the terms: -48 + -15 + -36z + 5z = 0 Combine like terms: -48 + -15 = -63 -63 + -36z + 5z = 0 Combine like terms: -36z + 5z = -31z -63 + -31z = 0 Solving -63 + -31z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + -31z = 0 + 63 Combine like terms: -63 + 63 = 0 0 + -31z = 0 + 63 -31z = 0 + 63 Combine like terms: 0 + 63 = 63 -31z = 63 Divide each side by '-31'. z = -2.032258065 Simplifying z = -2.032258065
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