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Simplifying (a + -1b + c)(-5) + 61 = 0 Reorder the terms for easier multiplication: -5(a + -1b + c) + 61 = 0 (a * -5 + -1b * -5 + c * -5) + 61 = 0 (-5a + 5b + -5c) + 61 = 0 Reorder the terms: 61 + -5a + 5b + -5c = 0 Solving 61 + -5a + 5b + -5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -5a + 5b + -61 + -5c = 0 + -61 Reorder the terms: 61 + -61 + -5a + 5b + -5c = 0 + -61 Combine like terms: 61 + -61 = 0 0 + -5a + 5b + -5c = 0 + -61 -5a + 5b + -5c = 0 + -61 Combine like terms: 0 + -61 = -61 -5a + 5b + -5c = -61 Add '-5b' to each side of the equation. -5a + 5b + -5b + -5c = -61 + -5b Combine like terms: 5b + -5b = 0 -5a + 0 + -5c = -61 + -5b -5a + -5c = -61 + -5b Add '5c' to each side of the equation. -5a + -5c + 5c = -61 + -5b + 5c Combine like terms: -5c + 5c = 0 -5a + 0 = -61 + -5b + 5c -5a = -61 + -5b + 5c Divide each side by '-5'. a = 12.2 + b + -1c Simplifying a = 12.2 + b + -1c
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