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Simplifying 13d + -1d + 16 = 8(3d + -19) Reorder the terms: 16 + 13d + -1d = 8(3d + -19) Combine like terms: 13d + -1d = 12d 16 + 12d = 8(3d + -19) Reorder the terms: 16 + 12d = 8(-19 + 3d) 16 + 12d = (-19 * 8 + 3d * 8) 16 + 12d = (-152 + 24d) Solving 16 + 12d = -152 + 24d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-24d' to each side of the equation. 16 + 12d + -24d = -152 + 24d + -24d Combine like terms: 12d + -24d = -12d 16 + -12d = -152 + 24d + -24d Combine like terms: 24d + -24d = 0 16 + -12d = -152 + 0 16 + -12d = -152 Add '-16' to each side of the equation. 16 + -16 + -12d = -152 + -16 Combine like terms: 16 + -16 = 0 0 + -12d = -152 + -16 -12d = -152 + -16 Combine like terms: -152 + -16 = -168 -12d = -168 Divide each side by '-12'. d = 14 Simplifying d = 14
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