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Simplifying -30.5 + -6.5z = 9(4z + -7) Reorder the terms: -30.5 + -6.5z = 9(-7 + 4z) -30.5 + -6.5z = (-7 * 9 + 4z * 9) -30.5 + -6.5z = (-63 + 36z) Solving -30.5 + -6.5z = -63 + 36z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-36z' to each side of the equation. -30.5 + -6.5z + -36z = -63 + 36z + -36z Combine like terms: -6.5z + -36z = -42.5z -30.5 + -42.5z = -63 + 36z + -36z Combine like terms: 36z + -36z = 0 -30.5 + -42.5z = -63 + 0 -30.5 + -42.5z = -63 Add '30.5' to each side of the equation. -30.5 + 30.5 + -42.5z = -63 + 30.5 Combine like terms: -30.5 + 30.5 = 0.0 0.0 + -42.5z = -63 + 30.5 -42.5z = -63 + 30.5 Combine like terms: -63 + 30.5 = -32.5 -42.5z = -32.5 Divide each side by '-42.5'. z = 0.7647058824 Simplifying z = 0.7647058824
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