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Simplifying 6.5(z + -2) = -2.5(3z + 3) + -65 Reorder the terms: 6.5(-2 + z) = -2.5(3z + 3) + -65 (-2 * 6.5 + z * 6.5) = -2.5(3z + 3) + -65 (-13 + 6.5z) = -2.5(3z + 3) + -65 Reorder the terms: -13 + 6.5z = -2.5(3 + 3z) + -65 -13 + 6.5z = (3 * -2.5 + 3z * -2.5) + -65 -13 + 6.5z = (-7.5 + -7.5z) + -65 Reorder the terms: -13 + 6.5z = -7.5 + -65 + -7.5z Combine like terms: -7.5 + -65 = -72.5 -13 + 6.5z = -72.5 + -7.5z Solving -13 + 6.5z = -72.5 + -7.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7.5z' to each side of the equation. -13 + 6.5z + 7.5z = -72.5 + -7.5z + 7.5z Combine like terms: 6.5z + 7.5z = 14z -13 + 14z = -72.5 + -7.5z + 7.5z Combine like terms: -7.5z + 7.5z = 0.0 -13 + 14z = -72.5 + 0.0 -13 + 14z = -72.5 Add '13' to each side of the equation. -13 + 13 + 14z = -72.5 + 13 Combine like terms: -13 + 13 = 0 0 + 14z = -72.5 + 13 14z = -72.5 + 13 Combine like terms: -72.5 + 13 = -59.5 14z = -59.5 Divide each side by '14'. z = -4.25 Simplifying z = -4.25
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