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Simplifying 5(3b + -2a) = 7(3b + -2a) Reorder the terms: 5(-2a + 3b) = 7(3b + -2a) (-2a * 5 + 3b * 5) = 7(3b + -2a) (-10a + 15b) = 7(3b + -2a) Reorder the terms: -10a + 15b = 7(-2a + 3b) -10a + 15b = (-2a * 7 + 3b * 7) -10a + 15b = (-14a + 21b) Solving -10a + 15b = -14a + 21b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. -10a + 14a + 15b = -14a + 14a + 21b Combine like terms: -10a + 14a = 4a 4a + 15b = -14a + 14a + 21b Combine like terms: -14a + 14a = 0 4a + 15b = 0 + 21b 4a + 15b = 21b Add '-15b' to each side of the equation. 4a + 15b + -15b = 21b + -15b Combine like terms: 15b + -15b = 0 4a + 0 = 21b + -15b 4a = 21b + -15b Combine like terms: 21b + -15b = 6b 4a = 6b Divide each side by '4'. a = 1.5b Simplifying a = 1.5b
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