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Simplifying [7(a + 5) + -18] + -1[2(a + -3) + 2] = 0 Reorder the terms: [7(5 + a) + -18] + -1[2(a + -3) + 2] = 0 [(5 * 7 + a * 7) + -18] + -1[2(a + -3) + 2] = 0 [(35 + 7a) + -18] + -1[2(a + -3) + 2] = 0 Reorder the terms: [35 + -18 + 7a] + -1[2(a + -3) + 2] = 0 Combine like terms: 35 + -18 = 17 [17 + 7a] + -1[2(a + -3) + 2] = 0 Remove brackets around [17 + 7a] 17 + 7a + -1[2(a + -3) + 2] = 0 Reorder the terms: 17 + 7a + -1[2(-3 + a) + 2] = 0 17 + 7a + -1[(-3 * 2 + a * 2) + 2] = 0 17 + 7a + -1[(-6 + 2a) + 2] = 0 Reorder the terms: 17 + 7a + -1[-6 + 2 + 2a] = 0 Combine like terms: -6 + 2 = -4 17 + 7a + -1[-4 + 2a] = 0 17 + 7a + [-4 * -1 + 2a * -1] = 0 17 + 7a + [4 + -2a] = 0 Reorder the terms: 17 + 4 + 7a + -2a = 0 Combine like terms: 17 + 4 = 21 21 + 7a + -2a = 0 Combine like terms: 7a + -2a = 5a 21 + 5a = 0 Solving 21 + 5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 5a = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 5a = 0 + -21 5a = 0 + -21 Combine like terms: 0 + -21 = -21 5a = -21 Divide each side by '5'. a = -4.2 Simplifying a = -4.2
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