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Simplifying 15a + -7(a + -2) + -5(a + -3) = 21 Reorder the terms: 15a + -7(-2 + a) + -5(a + -3) = 21 15a + (-2 * -7 + a * -7) + -5(a + -3) = 21 15a + (14 + -7a) + -5(a + -3) = 21 Reorder the terms: 15a + 14 + -7a + -5(-3 + a) = 21 15a + 14 + -7a + (-3 * -5 + a * -5) = 21 15a + 14 + -7a + (15 + -5a) = 21 Reorder the terms: 14 + 15 + 15a + -7a + -5a = 21 Combine like terms: 14 + 15 = 29 29 + 15a + -7a + -5a = 21 Combine like terms: 15a + -7a = 8a 29 + 8a + -5a = 21 Combine like terms: 8a + -5a = 3a 29 + 3a = 21 Solving 29 + 3a = 21 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 3a = 21 + -29 Combine like terms: 29 + -29 = 0 0 + 3a = 21 + -29 3a = 21 + -29 Combine like terms: 21 + -29 = -8 3a = -8 Divide each side by '3'. a = -2.666666667 Simplifying a = -2.666666667
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