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Simplifying d + 5(-10d + -19) = -4(12d + 12) Reorder the terms: d + 5(-19 + -10d) = -4(12d + 12) d + (-19 * 5 + -10d * 5) = -4(12d + 12) d + (-95 + -50d) = -4(12d + 12) Reorder the terms: -95 + d + -50d = -4(12d + 12) Combine like terms: d + -50d = -49d -95 + -49d = -4(12d + 12) Reorder the terms: -95 + -49d = -4(12 + 12d) -95 + -49d = (12 * -4 + 12d * -4) -95 + -49d = (-48 + -48d) Solving -95 + -49d = -48 + -48d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '48d' to each side of the equation. -95 + -49d + 48d = -48 + -48d + 48d Combine like terms: -49d + 48d = -1d -95 + -1d = -48 + -48d + 48d Combine like terms: -48d + 48d = 0 -95 + -1d = -48 + 0 -95 + -1d = -48 Add '95' to each side of the equation. -95 + 95 + -1d = -48 + 95 Combine like terms: -95 + 95 = 0 0 + -1d = -48 + 95 -1d = -48 + 95 Combine like terms: -48 + 95 = 47 -1d = 47 Divide each side by '-1'. d = -47 Simplifying d = -47
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