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Simplifying 5(-6 + -3d) = 3(8 + 70) (-6 * 5 + -3d * 5) = 3(8 + 70) (-30 + -15d) = 3(8 + 70) Combine like terms: 8 + 70 = 78 -30 + -15d = 3(78) Multiply 3 * 78 -30 + -15d = 234 Solving -30 + -15d = 234 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -15d = 234 + 30 Combine like terms: -30 + 30 = 0 0 + -15d = 234 + 30 -15d = 234 + 30 Combine like terms: 234 + 30 = 264 -15d = 264 Divide each side by '-15'. d = -17.6 Simplifying d = -17.6
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