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Simplifying 7(2 + -3a) + -15(2a + -5) = 16 (2 * 7 + -3a * 7) + -15(2a + -5) = 16 (14 + -21a) + -15(2a + -5) = 16 Reorder the terms: 14 + -21a + -15(-5 + 2a) = 16 14 + -21a + (-5 * -15 + 2a * -15) = 16 14 + -21a + (75 + -30a) = 16 Reorder the terms: 14 + 75 + -21a + -30a = 16 Combine like terms: 14 + 75 = 89 89 + -21a + -30a = 16 Combine like terms: -21a + -30a = -51a 89 + -51a = 16 Solving 89 + -51a = 16 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-89' to each side of the equation. 89 + -89 + -51a = 16 + -89 Combine like terms: 89 + -89 = 0 0 + -51a = 16 + -89 -51a = 16 + -89 Combine like terms: 16 + -89 = -73 -51a = -73 Divide each side by '-51'. a = 1.431372549 Simplifying a = 1.431372549
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