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Simplifying 14(d + 7) = 4(d + -4) + 11d Reorder the terms: 14(7 + d) = 4(d + -4) + 11d (7 * 14 + d * 14) = 4(d + -4) + 11d (98 + 14d) = 4(d + -4) + 11d Reorder the terms: 98 + 14d = 4(-4 + d) + 11d 98 + 14d = (-4 * 4 + d * 4) + 11d 98 + 14d = (-16 + 4d) + 11d Combine like terms: 4d + 11d = 15d 98 + 14d = -16 + 15d Solving 98 + 14d = -16 + 15d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15d' to each side of the equation. 98 + 14d + -15d = -16 + 15d + -15d Combine like terms: 14d + -15d = -1d 98 + -1d = -16 + 15d + -15d Combine like terms: 15d + -15d = 0 98 + -1d = -16 + 0 98 + -1d = -16 Add '-98' to each side of the equation. 98 + -98 + -1d = -16 + -98 Combine like terms: 98 + -98 = 0 0 + -1d = -16 + -98 -1d = -16 + -98 Combine like terms: -16 + -98 = -114 -1d = -114 Divide each side by '-1'. d = 114 Simplifying d = 114
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