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Simplifying 19 + -5a = -7 + -3(-2 + -5a) 19 + -5a = -7 + (-2 * -3 + -5a * -3) 19 + -5a = -7 + (6 + 15a) Combine like terms: -7 + 6 = -1 19 + -5a = -1 + 15a Solving 19 + -5a = -1 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 19 + -5a + -15a = -1 + 15a + -15a Combine like terms: -5a + -15a = -20a 19 + -20a = -1 + 15a + -15a Combine like terms: 15a + -15a = 0 19 + -20a = -1 + 0 19 + -20a = -1 Add '-19' to each side of the equation. 19 + -19 + -20a = -1 + -19 Combine like terms: 19 + -19 = 0 0 + -20a = -1 + -19 -20a = -1 + -19 Combine like terms: -1 + -19 = -20 -20a = -20 Divide each side by '-20'. a = 1 Simplifying a = 1
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