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Simplifying 2(1 + -8) + 7 = 5(a + 2) + -3a + -19 Combine like terms: 1 + -8 = -7 2(-7) + 7 = 5(a + 2) + -3a + -19 Multiply 2 * -7 -14 + 7 = 5(a + 2) + -3a + -19 Combine like terms: -14 + 7 = -7 -7 = 5(a + 2) + -3a + -19 Reorder the terms: -7 = 5(2 + a) + -3a + -19 -7 = (2 * 5 + a * 5) + -3a + -19 -7 = (10 + 5a) + -3a + -19 Reorder the terms: -7 = 10 + -19 + 5a + -3a Combine like terms: 10 + -19 = -9 -7 = -9 + 5a + -3a Combine like terms: 5a + -3a = 2a -7 = -9 + 2a Solving -7 = -9 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -7 + -2a = -9 + 2a + -2a Combine like terms: 2a + -2a = 0 -7 + -2a = -9 + 0 -7 + -2a = -9 Add '7' to each side of the equation. -7 + 7 + -2a = -9 + 7 Combine like terms: -7 + 7 = 0 0 + -2a = -9 + 7 -2a = -9 + 7 Combine like terms: -9 + 7 = -2 -2a = -2 Divide each side by '-2'. a = 1 Simplifying a = 1
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