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Simplifying -34 + -1r = 7(2r + 8) Reorder the terms: -34 + -1r = 7(8 + 2r) -34 + -1r = (8 * 7 + 2r * 7) -34 + -1r = (56 + 14r) Solving -34 + -1r = 56 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. -34 + -1r + -14r = 56 + 14r + -14r Combine like terms: -1r + -14r = -15r -34 + -15r = 56 + 14r + -14r Combine like terms: 14r + -14r = 0 -34 + -15r = 56 + 0 -34 + -15r = 56 Add '34' to each side of the equation. -34 + 34 + -15r = 56 + 34 Combine like terms: -34 + 34 = 0 0 + -15r = 56 + 34 -15r = 56 + 34 Combine like terms: 56 + 34 = 90 -15r = 90 Divide each side by '-15'. r = -6 Simplifying r = -6
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