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Simplifying 6(z + -8) = 7z + -3 Reorder the terms: 6(-8 + z) = 7z + -3 (-8 * 6 + z * 6) = 7z + -3 (-48 + 6z) = 7z + -3 Reorder the terms: -48 + 6z = -3 + 7z Solving -48 + 6z = -3 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -48 + 6z + -7z = -3 + 7z + -7z Combine like terms: 6z + -7z = -1z -48 + -1z = -3 + 7z + -7z Combine like terms: 7z + -7z = 0 -48 + -1z = -3 + 0 -48 + -1z = -3 Add '48' to each side of the equation. -48 + 48 + -1z = -3 + 48 Combine like terms: -48 + 48 = 0 0 + -1z = -3 + 48 -1z = -3 + 48 Combine like terms: -3 + 48 = 45 -1z = 45 Divide each side by '-1'. z = -45 Simplifying z = -45
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