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Simplifying -5(-2d + 19) = 10 + -5d Reorder the terms: -5(19 + -2d) = 10 + -5d (19 * -5 + -2d * -5) = 10 + -5d (-95 + 10d) = 10 + -5d Solving -95 + 10d = 10 + -5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5d' to each side of the equation. -95 + 10d + 5d = 10 + -5d + 5d Combine like terms: 10d + 5d = 15d -95 + 15d = 10 + -5d + 5d Combine like terms: -5d + 5d = 0 -95 + 15d = 10 + 0 -95 + 15d = 10 Add '95' to each side of the equation. -95 + 95 + 15d = 10 + 95 Combine like terms: -95 + 95 = 0 0 + 15d = 10 + 95 15d = 10 + 95 Combine like terms: 10 + 95 = 105 15d = 105 Divide each side by '15'. d = 7 Simplifying d = 7
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