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Simplifying 10d + -12 = -2d + 2(6d + -6) Reorder the terms: -12 + 10d = -2d + 2(6d + -6) Reorder the terms: -12 + 10d = -2d + 2(-6 + 6d) -12 + 10d = -2d + (-6 * 2 + 6d * 2) -12 + 10d = -2d + (-12 + 12d) Reorder the terms: -12 + 10d = -12 + -2d + 12d Combine like terms: -2d + 12d = 10d -12 + 10d = -12 + 10d Add '12' to each side of the equation. -12 + 12 + 10d = -12 + 12 + 10d Combine like terms: -12 + 12 = 0 0 + 10d = -12 + 12 + 10d 10d = -12 + 12 + 10d Combine like terms: -12 + 12 = 0 10d = 0 + 10d 10d = 10d Add '-10d' to each side of the equation. 10d + -10d = 10d + -10d Combine like terms: 10d + -10d = 0 0 = 10d + -10d Combine like terms: 10d + -10d = 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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