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Simplifying 17a + -5(a + 1) = 2(a + -3) Reorder the terms: 17a + -5(1 + a) = 2(a + -3) 17a + (1 * -5 + a * -5) = 2(a + -3) 17a + (-5 + -5a) = 2(a + -3) Reorder the terms: -5 + 17a + -5a = 2(a + -3) Combine like terms: 17a + -5a = 12a -5 + 12a = 2(a + -3) Reorder the terms: -5 + 12a = 2(-3 + a) -5 + 12a = (-3 * 2 + a * 2) -5 + 12a = (-6 + 2a) Solving -5 + 12a = -6 + 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. -5 + 12a + -2a = -6 + 2a + -2a Combine like terms: 12a + -2a = 10a -5 + 10a = -6 + 2a + -2a Combine like terms: 2a + -2a = 0 -5 + 10a = -6 + 0 -5 + 10a = -6 Add '5' to each side of the equation. -5 + 5 + 10a = -6 + 5 Combine like terms: -5 + 5 = 0 0 + 10a = -6 + 5 10a = -6 + 5 Combine like terms: -6 + 5 = -1 10a = -1 Divide each side by '10'. a = -0.1 Simplifying a = -0.1
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