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