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Simplifying -6.5 + -7r = -1.25r + -0.25(-9r + -2) Reorder the terms: -6.5 + -7r = -1.25r + -0.25(-2 + -9r) -6.5 + -7r = -1.25r + (-2 * -0.25 + -9r * -0.25) -6.5 + -7r = -1.25r + (0.5 + 2.25r) Reorder the terms: -6.5 + -7r = 0.5 + -1.25r + 2.25r Combine like terms: -1.25r + 2.25r = 1r -6.5 + -7r = 0.5 + 1r Solving -6.5 + -7r = 0.5 + 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -6.5 + -7r + -1r = 0.5 + 1r + -1r Combine like terms: -7r + -1r = -8r -6.5 + -8r = 0.5 + 1r + -1r Combine like terms: 1r + -1r = 0 -6.5 + -8r = 0.5 + 0 -6.5 + -8r = 0.5 Add '6.5' to each side of the equation. -6.5 + 6.5 + -8r = 0.5 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + -8r = 0.5 + 6.5 -8r = 0.5 + 6.5 Combine like terms: 0.5 + 6.5 = 7 -8r = 7 Divide each side by '-8'. r = -0.875 Simplifying r = -0.875
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