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Simplifying 19 + -7a = (a + 6) + -8(5 + 2a) Reorder the terms: 19 + -7a = (6 + a) + -8(5 + 2a) Remove parenthesis around (6 + a) 19 + -7a = 6 + a + -8(5 + 2a) 19 + -7a = 6 + a + (5 * -8 + 2a * -8) 19 + -7a = 6 + a + (-40 + -16a) Reorder the terms: 19 + -7a = 6 + -40 + a + -16a Combine like terms: 6 + -40 = -34 19 + -7a = -34 + a + -16a Combine like terms: a + -16a = -15a 19 + -7a = -34 + -15a Solving 19 + -7a = -34 + -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 + -7a + 15a = -34 + -15a + 15a Combine like terms: -7a + 15a = 8a 19 + 8a = -34 + -15a + 15a Combine like terms: -15a + 15a = 0 19 + 8a = -34 + 0 19 + 8a = -34 Add '-19' to each side of the equation. 19 + -19 + 8a = -34 + -19 Combine like terms: 19 + -19 = 0 0 + 8a = -34 + -19 8a = -34 + -19 Combine like terms: -34 + -19 = -53 8a = -53 Divide each side by '8'. a = -6.625 Simplifying a = -6.625
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