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Simplifying 6.5(z + -2) = -2.5(3.5 + 4x) * 2 + -2 Reorder the terms: 6.5(-2 + z) = -2.5(3.5 + 4x) * 2 + -2 (-2 * 6.5 + z * 6.5) = -2.5(3.5 + 4x) * 2 + -2 (-13 + 6.5z) = -2.5(3.5 + 4x) * 2 + -2 Reorder the terms for easier multiplication: -13 + 6.5z = -2.5 * 2(3.5 + 4x) + -2 Multiply -2.5 * 2 -13 + 6.5z = -5(3.5 + 4x) + -2 -13 + 6.5z = (3.5 * -5 + 4x * -5) + -2 -13 + 6.5z = (-17.5 + -20x) + -2 Reorder the terms: -13 + 6.5z = -17.5 + -2 + -20x Combine like terms: -17.5 + -2 = -19.5 -13 + 6.5z = -19.5 + -20x Solving -13 + 6.5z = -19.5 + -20x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 6.5z = -19.5 + 13 + -20x Combine like terms: -13 + 13 = 0 0 + 6.5z = -19.5 + 13 + -20x 6.5z = -19.5 + 13 + -20x Combine like terms: -19.5 + 13 = -6.5 6.5z = -6.5 + -20x Divide each side by '6.5'. z = -1 + -3.076923077x Simplifying z = -1 + -3.076923077x
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