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Simplifying -5(d + 3) + -1d + -4 = -6(d + 5) + 11 Reorder the terms: -5(3 + d) + -1d + -4 = -6(d + 5) + 11 (3 * -5 + d * -5) + -1d + -4 = -6(d + 5) + 11 (-15 + -5d) + -1d + -4 = -6(d + 5) + 11 Reorder the terms: -15 + -4 + -5d + -1d = -6(d + 5) + 11 Combine like terms: -15 + -4 = -19 -19 + -5d + -1d = -6(d + 5) + 11 Combine like terms: -5d + -1d = -6d -19 + -6d = -6(d + 5) + 11 Reorder the terms: -19 + -6d = -6(5 + d) + 11 -19 + -6d = (5 * -6 + d * -6) + 11 -19 + -6d = (-30 + -6d) + 11 Reorder the terms: -19 + -6d = -30 + 11 + -6d Combine like terms: -30 + 11 = -19 -19 + -6d = -19 + -6d Add '19' to each side of the equation. -19 + 19 + -6d = -19 + 19 + -6d Combine like terms: -19 + 19 = 0 0 + -6d = -19 + 19 + -6d -6d = -19 + 19 + -6d Combine like terms: -19 + 19 = 0 -6d = 0 + -6d -6d = -6d Add '6d' to each side of the equation. -6d + 6d = -6d + 6d Combine like terms: -6d + 6d = 0 0 = -6d + 6d Combine like terms: -6d + 6d = 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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