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Simplifying -7(10r + -12) + -2(-3 + -3r) = 0 Reorder the terms: -7(-12 + 10r) + -2(-3 + -3r) = 0 (-12 * -7 + 10r * -7) + -2(-3 + -3r) = 0 (84 + -70r) + -2(-3 + -3r) = 0 84 + -70r + (-3 * -2 + -3r * -2) = 0 84 + -70r + (6 + 6r) = 0 Reorder the terms: 84 + 6 + -70r + 6r = 0 Combine like terms: 84 + 6 = 90 90 + -70r + 6r = 0 Combine like terms: -70r + 6r = -64r 90 + -64r = 0 Solving 90 + -64r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + -64r = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -64r = 0 + -90 -64r = 0 + -90 Combine like terms: 0 + -90 = -90 -64r = -90 Divide each side by '-64'. r = 1.40625 Simplifying r = 1.40625
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