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Simplifying 7(8z + -9) + 6(4 + z) = 147 Reorder the terms: 7(-9 + 8z) + 6(4 + z) = 147 (-9 * 7 + 8z * 7) + 6(4 + z) = 147 (-63 + 56z) + 6(4 + z) = 147 -63 + 56z + (4 * 6 + z * 6) = 147 -63 + 56z + (24 + 6z) = 147 Reorder the terms: -63 + 24 + 56z + 6z = 147 Combine like terms: -63 + 24 = -39 -39 + 56z + 6z = 147 Combine like terms: 56z + 6z = 62z -39 + 62z = 147 Solving -39 + 62z = 147 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 62z = 147 + 39 Combine like terms: -39 + 39 = 0 0 + 62z = 147 + 39 62z = 147 + 39 Combine like terms: 147 + 39 = 186 62z = 186 Divide each side by '62'. z = 3 Simplifying z = 3
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