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Simplifying 2(7dx + -8y) = 13(dx + 1) (7dx * 2 + -8y * 2) = 13(dx + 1) (14dx + -16y) = 13(dx + 1) Reorder the terms: 14dx + -16y = 13(1 + dx) 14dx + -16y = (1 * 13 + dx * 13) 14dx + -16y = (13 + 13dx) Solving 14dx + -16y = 13 + 13dx Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-13dx' to each side of the equation. 14dx + -13dx + -16y = 13 + 13dx + -13dx Combine like terms: 14dx + -13dx = 1dx 1dx + -16y = 13 + 13dx + -13dx Combine like terms: 13dx + -13dx = 0 1dx + -16y = 13 + 0 1dx + -16y = 13 Add '16y' to each side of the equation. 1dx + -16y + 16y = 13 + 16y Combine like terms: -16y + 16y = 0 1dx + 0 = 13 + 16y 1dx = 13 + 16y Divide each side by '1x'. d = 13x-1 + 16x-1y Simplifying d = 13x-1 + 16x-1y
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