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Simplifying 6(z + 8) + -7(z + 5) = 0 Reorder the terms: 6(8 + z) + -7(z + 5) = 0 (8 * 6 + z * 6) + -7(z + 5) = 0 (48 + 6z) + -7(z + 5) = 0 Reorder the terms: 48 + 6z + -7(5 + z) = 0 48 + 6z + (5 * -7 + z * -7) = 0 48 + 6z + (-35 + -7z) = 0 Reorder the terms: 48 + -35 + 6z + -7z = 0 Combine like terms: 48 + -35 = 13 13 + 6z + -7z = 0 Combine like terms: 6z + -7z = -1z 13 + -1z = 0 Solving 13 + -1z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1z = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1z = 0 + -13 -1z = 0 + -13 Combine like terms: 0 + -13 = -13 -1z = -13 Divide each side by '-1'. z = 13 Simplifying z = 13
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