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Simplifying -34 + 2r = 8(7r + -6) Reorder the terms: -34 + 2r = 8(-6 + 7r) -34 + 2r = (-6 * 8 + 7r * 8) -34 + 2r = (-48 + 56r) Solving -34 + 2r = -48 + 56r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-56r' to each side of the equation. -34 + 2r + -56r = -48 + 56r + -56r Combine like terms: 2r + -56r = -54r -34 + -54r = -48 + 56r + -56r Combine like terms: 56r + -56r = 0 -34 + -54r = -48 + 0 -34 + -54r = -48 Add '34' to each side of the equation. -34 + 34 + -54r = -48 + 34 Combine like terms: -34 + 34 = 0 0 + -54r = -48 + 34 -54r = -48 + 34 Combine like terms: -48 + 34 = -14 -54r = -14 Divide each side by '-54'. r = 0.2592592593 Simplifying r = 0.2592592593
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