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Simplifying 3(7 + -1d) + -33 = 21d + -4(3 + 6d) (7 * 3 + -1d * 3) + -33 = 21d + -4(3 + 6d) (21 + -3d) + -33 = 21d + -4(3 + 6d) Reorder the terms: 21 + -33 + -3d = 21d + -4(3 + 6d) Combine like terms: 21 + -33 = -12 -12 + -3d = 21d + -4(3 + 6d) -12 + -3d = 21d + (3 * -4 + 6d * -4) -12 + -3d = 21d + (-12 + -24d) Reorder the terms: -12 + -3d = -12 + 21d + -24d Combine like terms: 21d + -24d = -3d -12 + -3d = -12 + -3d Add '12' to each side of the equation. -12 + 12 + -3d = -12 + 12 + -3d Combine like terms: -12 + 12 = 0 0 + -3d = -12 + 12 + -3d -3d = -12 + 12 + -3d Combine like terms: -12 + 12 = 0 -3d = 0 + -3d -3d = -3d Add '3d' to each side of the equation. -3d + 3d = -3d + 3d Combine like terms: -3d + 3d = 0 0 = -3d + 3d Combine like terms: -3d + 3d = 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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