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Simplifying 7(5d + -14) = 7(7d + -10) Reorder the terms: 7(-14 + 5d) = 7(7d + -10) (-14 * 7 + 5d * 7) = 7(7d + -10) (-98 + 35d) = 7(7d + -10) Reorder the terms: -98 + 35d = 7(-10 + 7d) -98 + 35d = (-10 * 7 + 7d * 7) -98 + 35d = (-70 + 49d) Solving -98 + 35d = -70 + 49d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-49d' to each side of the equation. -98 + 35d + -49d = -70 + 49d + -49d Combine like terms: 35d + -49d = -14d -98 + -14d = -70 + 49d + -49d Combine like terms: 49d + -49d = 0 -98 + -14d = -70 + 0 -98 + -14d = -70 Add '98' to each side of the equation. -98 + 98 + -14d = -70 + 98 Combine like terms: -98 + 98 = 0 0 + -14d = -70 + 98 -14d = -70 + 98 Combine like terms: -70 + 98 = 28 -14d = 28 Divide each side by '-14'. d = -2 Simplifying d = -2
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