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Simplifying 2(4z + -9 + -7) = 160 + -46 Reorder the terms: 2(-9 + -7 + 4z) = 160 + -46 Combine like terms: -9 + -7 = -16 2(-16 + 4z) = 160 + -46 (-16 * 2 + 4z * 2) = 160 + -46 (-32 + 8z) = 160 + -46 Combine like terms: 160 + -46 = 114 -32 + 8z = 114 Solving -32 + 8z = 114 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 8z = 114 + 32 Combine like terms: -32 + 32 = 0 0 + 8z = 114 + 32 8z = 114 + 32 Combine like terms: 114 + 32 = 146 8z = 146 Divide each side by '8'. z = 18.25 Simplifying z = 18.25
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