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Simplifying [5(a + -5) + 17] + -1[2(5a + -3) + 27] = 0 Reorder the terms: [5(-5 + a) + 17] + -1[2(5a + -3) + 27] = 0 [(-5 * 5 + a * 5) + 17] + -1[2(5a + -3) + 27] = 0 [(-25 + 5a) + 17] + -1[2(5a + -3) + 27] = 0 Reorder the terms: [-25 + 17 + 5a] + -1[2(5a + -3) + 27] = 0 Combine like terms: -25 + 17 = -8 [-8 + 5a] + -1[2(5a + -3) + 27] = 0 Remove brackets around [-8 + 5a] -8 + 5a + -1[2(5a + -3) + 27] = 0 Reorder the terms: -8 + 5a + -1[2(-3 + 5a) + 27] = 0 -8 + 5a + -1[(-3 * 2 + 5a * 2) + 27] = 0 -8 + 5a + -1[(-6 + 10a) + 27] = 0 Reorder the terms: -8 + 5a + -1[-6 + 27 + 10a] = 0 Combine like terms: -6 + 27 = 21 -8 + 5a + -1[21 + 10a] = 0 -8 + 5a + [21 * -1 + 10a * -1] = 0 -8 + 5a + [-21 + -10a] = 0 Reorder the terms: -8 + -21 + 5a + -10a = 0 Combine like terms: -8 + -21 = -29 -29 + 5a + -10a = 0 Combine like terms: 5a + -10a = -5a -29 + -5a = 0 Solving -29 + -5a = 0 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 + -5a = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -5a = 0 + 29 -5a = 0 + 29 Combine like terms: 0 + 29 = 29 -5a = 29 Divide each side by '-5'. a = -5.8 Simplifying a = -5.8
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