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Simplifying 4(d + -4) = 3(d + 1) Reorder the terms: 4(-4 + d) = 3(d + 1) (-4 * 4 + d * 4) = 3(d + 1) (-16 + 4d) = 3(d + 1) Reorder the terms: -16 + 4d = 3(1 + d) -16 + 4d = (1 * 3 + d * 3) -16 + 4d = (3 + 3d) Solving -16 + 4d = 3 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -16 + 4d + -3d = 3 + 3d + -3d Combine like terms: 4d + -3d = 1d -16 + 1d = 3 + 3d + -3d Combine like terms: 3d + -3d = 0 -16 + 1d = 3 + 0 -16 + 1d = 3 Add '16' to each side of the equation. -16 + 16 + 1d = 3 + 16 Combine like terms: -16 + 16 = 0 0 + 1d = 3 + 16 1d = 3 + 16 Combine like terms: 3 + 16 = 19 1d = 19 Divide each side by '1'. d = 19 Simplifying d = 19
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