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Simplifying 4(d + -3) = 2d + 4d + -5 Reorder the terms: 4(-3 + d) = 2d + 4d + -5 (-3 * 4 + d * 4) = 2d + 4d + -5 (-12 + 4d) = 2d + 4d + -5 Reorder the terms: -12 + 4d = -5 + 2d + 4d Combine like terms: 2d + 4d = 6d -12 + 4d = -5 + 6d Solving -12 + 4d = -5 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. -12 + 4d + -6d = -5 + 6d + -6d Combine like terms: 4d + -6d = -2d -12 + -2d = -5 + 6d + -6d Combine like terms: 6d + -6d = 0 -12 + -2d = -5 + 0 -12 + -2d = -5 Add '12' to each side of the equation. -12 + 12 + -2d = -5 + 12 Combine like terms: -12 + 12 = 0 0 + -2d = -5 + 12 -2d = -5 + 12 Combine like terms: -5 + 12 = 7 -2d = 7 Divide each side by '-2'. d = -3.5 Simplifying d = -3.5
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