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Simplifying 5(-3d + -9) + (8d + 5) = -12 Reorder the terms: 5(-9 + -3d) + (8d + 5) = -12 (-9 * 5 + -3d * 5) + (8d + 5) = -12 (-45 + -15d) + (8d + 5) = -12 Reorder the terms: -45 + -15d + (5 + 8d) = -12 Remove parenthesis around (5 + 8d) -45 + -15d + 5 + 8d = -12 Reorder the terms: -45 + 5 + -15d + 8d = -12 Combine like terms: -45 + 5 = -40 -40 + -15d + 8d = -12 Combine like terms: -15d + 8d = -7d -40 + -7d = -12 Solving -40 + -7d = -12 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -7d = -12 + 40 Combine like terms: -40 + 40 = 0 0 + -7d = -12 + 40 -7d = -12 + 40 Combine like terms: -12 + 40 = 28 -7d = 28 Divide each side by '-7'. d = -4 Simplifying d = -4
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