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Simplifying r + -30 + (8 + -1r) * 2 = 6r + -7(r + 2) Reorder the terms for easier multiplication: r + -30 + 2(8 + -1r) = 6r + -7(r + 2) r + -30 + (8 * 2 + -1r * 2) = 6r + -7(r + 2) r + -30 + (16 + -2r) = 6r + -7(r + 2) Reorder the terms: -30 + 16 + r + -2r = 6r + -7(r + 2) Combine like terms: -30 + 16 = -14 -14 + r + -2r = 6r + -7(r + 2) Combine like terms: r + -2r = -1r -14 + -1r = 6r + -7(r + 2) Reorder the terms: -14 + -1r = 6r + -7(2 + r) -14 + -1r = 6r + (2 * -7 + r * -7) -14 + -1r = 6r + (-14 + -7r) Reorder the terms: -14 + -1r = -14 + 6r + -7r Combine like terms: 6r + -7r = -1r -14 + -1r = -14 + -1r Add '14' to each side of the equation. -14 + 14 + -1r = -14 + 14 + -1r Combine like terms: -14 + 14 = 0 0 + -1r = -14 + 14 + -1r -1r = -14 + 14 + -1r Combine like terms: -14 + 14 = 0 -1r = 0 + -1r -1r = -1r Add 'r' to each side of the equation. -1r + r = -1r + r Combine like terms: -1r + r = 0 0 = -1r + r Combine like terms: -1r + r = 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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