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Simplifying -5(3 + -1r) + -7(1 + 10r) = 0 (3 * -5 + -1r * -5) + -7(1 + 10r) = 0 (-15 + 5r) + -7(1 + 10r) = 0 -15 + 5r + (1 * -7 + 10r * -7) = 0 -15 + 5r + (-7 + -70r) = 0 Reorder the terms: -15 + -7 + 5r + -70r = 0 Combine like terms: -15 + -7 = -22 -22 + 5r + -70r = 0 Combine like terms: 5r + -70r = -65r -22 + -65r = 0 Solving -22 + -65r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -65r = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -65r = 0 + 22 -65r = 0 + 22 Combine like terms: 0 + 22 = 22 -65r = 22 Divide each side by '-65'. r = -0.3384615385 Simplifying r = -0.3384615385
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