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Simplifying -6(-6d + 2) = 5(6d + -19) + -19 Reorder the terms: -6(2 + -6d) = 5(6d + -19) + -19 (2 * -6 + -6d * -6) = 5(6d + -19) + -19 (-12 + 36d) = 5(6d + -19) + -19 Reorder the terms: -12 + 36d = 5(-19 + 6d) + -19 -12 + 36d = (-19 * 5 + 6d * 5) + -19 -12 + 36d = (-95 + 30d) + -19 Reorder the terms: -12 + 36d = -95 + -19 + 30d Combine like terms: -95 + -19 = -114 -12 + 36d = -114 + 30d Solving -12 + 36d = -114 + 30d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-30d' to each side of the equation. -12 + 36d + -30d = -114 + 30d + -30d Combine like terms: 36d + -30d = 6d -12 + 6d = -114 + 30d + -30d Combine like terms: 30d + -30d = 0 -12 + 6d = -114 + 0 -12 + 6d = -114 Add '12' to each side of the equation. -12 + 12 + 6d = -114 + 12 Combine like terms: -12 + 12 = 0 0 + 6d = -114 + 12 6d = -114 + 12 Combine like terms: -114 + 12 = -102 6d = -102 Divide each side by '6'. d = -17 Simplifying d = -17
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