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Simplifying -34 + -1r = -7(8r + -3) Reorder the terms: -34 + -1r = -7(-3 + 8r) -34 + -1r = (-3 * -7 + 8r * -7) -34 + -1r = (21 + -56r) Solving -34 + -1r = 21 + -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 + -1r + 56r = 21 + -56r + 56r Combine like terms: -1r + 56r = 55r -34 + 55r = 21 + -56r + 56r Combine like terms: -56r + 56r = 0 -34 + 55r = 21 + 0 -34 + 55r = 21 Add '34' to each side of the equation. -34 + 34 + 55r = 21 + 34 Combine like terms: -34 + 34 = 0 0 + 55r = 21 + 34 55r = 21 + 34 Combine like terms: 21 + 34 = 55 55r = 55 Divide each side by '55'. r = 1 Simplifying r = 1
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