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Simplifying 3z + -8 = 7[z + -3] Reorder the terms: -8 + 3z = 7[z + -3] Reorder the terms: -8 + 3z = 7[-3 + z] -8 + 3z = [-3 * 7 + z * 7] -8 + 3z = [-21 + 7z] Solving -8 + 3z = -21 + 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. -8 + 3z + -7z = -21 + 7z + -7z Combine like terms: 3z + -7z = -4z -8 + -4z = -21 + 7z + -7z Combine like terms: 7z + -7z = 0 -8 + -4z = -21 + 0 -8 + -4z = -21 Add '8' to each side of the equation. -8 + 8 + -4z = -21 + 8 Combine like terms: -8 + 8 = 0 0 + -4z = -21 + 8 -4z = -21 + 8 Combine like terms: -21 + 8 = -13 -4z = -13 Divide each side by '-4'. z = 3.25 Simplifying z = 3.25
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