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Simplifying 13 = 4(d + 2) + 1 Reorder the terms: 13 = 4(2 + d) + 1 13 = (2 * 4 + d * 4) + 1 13 = (8 + 4d) + 1 Reorder the terms: 13 = 8 + 1 + 4d Combine like terms: 8 + 1 = 9 13 = 9 + 4d Solving 13 = 9 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 13 + -4d = 9 + 4d + -4d Combine like terms: 4d + -4d = 0 13 + -4d = 9 + 0 13 + -4d = 9 Add '-13' to each side of the equation. 13 + -13 + -4d = 9 + -13 Combine like terms: 13 + -13 = 0 0 + -4d = 9 + -13 -4d = 9 + -13 Combine like terms: 9 + -13 = -4 -4d = -4 Divide each side by '-4'. d = 1 Simplifying d = 1
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