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Simplifying 4(-4(2r + 3) + 3(5x + -2)) = 0 Reorder the terms: 4(-4(3 + 2r) + 3(5x + -2)) = 0 4((3 * -4 + 2r * -4) + 3(5x + -2)) = 0 4((-12 + -8r) + 3(5x + -2)) = 0 Reorder the terms: 4(-12 + -8r + 3(-2 + 5x)) = 0 4(-12 + -8r + (-2 * 3 + 5x * 3)) = 0 4(-12 + -8r + (-6 + 15x)) = 0 Reorder the terms: 4(-12 + -6 + -8r + 15x) = 0 Combine like terms: -12 + -6 = -18 4(-18 + -8r + 15x) = 0 (-18 * 4 + -8r * 4 + 15x * 4) = 0 (-72 + -32r + 60x) = 0 Solving -72 + -32r + 60x = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '72' to each side of the equation. -72 + -32r + 72 + 60x = 0 + 72 Reorder the terms: -72 + 72 + -32r + 60x = 0 + 72 Combine like terms: -72 + 72 = 0 0 + -32r + 60x = 0 + 72 -32r + 60x = 0 + 72 Combine like terms: 0 + 72 = 72 -32r + 60x = 72 Add '-60x' to each side of the equation. -32r + 60x + -60x = 72 + -60x Combine like terms: 60x + -60x = 0 -32r + 0 = 72 + -60x -32r = 72 + -60x Divide each side by '-32'. r = -2.25 + 1.875x Simplifying r = -2.25 + 1.875x
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