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Simplifying 7(z + -2) * 39 = 3(5 + -1z) Reorder the terms: 7(-2 + z) * 39 = 3(5 + -1z) Reorder the terms for easier multiplication: 7 * 39(-2 + z) = 3(5 + -1z) Multiply 7 * 39 273(-2 + z) = 3(5 + -1z) (-2 * 273 + z * 273) = 3(5 + -1z) (-546 + 273z) = 3(5 + -1z) -546 + 273z = (5 * 3 + -1z * 3) -546 + 273z = (15 + -3z) Solving -546 + 273z = 15 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -546 + 273z + 3z = 15 + -3z + 3z Combine like terms: 273z + 3z = 276z -546 + 276z = 15 + -3z + 3z Combine like terms: -3z + 3z = 0 -546 + 276z = 15 + 0 -546 + 276z = 15 Add '546' to each side of the equation. -546 + 546 + 276z = 15 + 546 Combine like terms: -546 + 546 = 0 0 + 276z = 15 + 546 276z = 15 + 546 Combine like terms: 15 + 546 = 561 276z = 561 Divide each side by '276'. z = 2.032608696 Simplifying z = 2.032608696
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