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Simplifying -4(d + 2) = 7(d + -3) Reorder the terms: -4(2 + d) = 7(d + -3) (2 * -4 + d * -4) = 7(d + -3) (-8 + -4d) = 7(d + -3) Reorder the terms: -8 + -4d = 7(-3 + d) -8 + -4d = (-3 * 7 + d * 7) -8 + -4d = (-21 + 7d) Solving -8 + -4d = -21 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -8 + -4d + -7d = -21 + 7d + -7d Combine like terms: -4d + -7d = -11d -8 + -11d = -21 + 7d + -7d Combine like terms: 7d + -7d = 0 -8 + -11d = -21 + 0 -8 + -11d = -21 Add '8' to each side of the equation. -8 + 8 + -11d = -21 + 8 Combine like terms: -8 + 8 = 0 0 + -11d = -21 + 8 -11d = -21 + 8 Combine like terms: -21 + 8 = -13 -11d = -13 Divide each side by '-11'. d = 1.181818182 Simplifying d = 1.181818182
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