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Simplifying -3(d + 1) + -1d + -10 = -4(d + 5) + 7 Reorder the terms: -3(1 + d) + -1d + -10 = -4(d + 5) + 7 (1 * -3 + d * -3) + -1d + -10 = -4(d + 5) + 7 (-3 + -3d) + -1d + -10 = -4(d + 5) + 7 Reorder the terms: -3 + -10 + -3d + -1d = -4(d + 5) + 7 Combine like terms: -3 + -10 = -13 -13 + -3d + -1d = -4(d + 5) + 7 Combine like terms: -3d + -1d = -4d -13 + -4d = -4(d + 5) + 7 Reorder the terms: -13 + -4d = -4(5 + d) + 7 -13 + -4d = (5 * -4 + d * -4) + 7 -13 + -4d = (-20 + -4d) + 7 Reorder the terms: -13 + -4d = -20 + 7 + -4d Combine like terms: -20 + 7 = -13 -13 + -4d = -13 + -4d Add '13' to each side of the equation. -13 + 13 + -4d = -13 + 13 + -4d Combine like terms: -13 + 13 = 0 0 + -4d = -13 + 13 + -4d -4d = -13 + 13 + -4d Combine like terms: -13 + 13 = 0 -4d = 0 + -4d -4d = -4d Add '4d' to each side of the equation. -4d + 4d = -4d + 4d Combine like terms: -4d + 4d = 0 0 = -4d + 4d Combine like terms: -4d + 4d = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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