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Simplifying 7(a + -7) + 21 = 5(a + -4) Reorder the terms: 7(-7 + a) + 21 = 5(a + -4) (-7 * 7 + a * 7) + 21 = 5(a + -4) (-49 + 7a) + 21 = 5(a + -4) Reorder the terms: -49 + 21 + 7a = 5(a + -4) Combine like terms: -49 + 21 = -28 -28 + 7a = 5(a + -4) Reorder the terms: -28 + 7a = 5(-4 + a) -28 + 7a = (-4 * 5 + a * 5) -28 + 7a = (-20 + 5a) Solving -28 + 7a = -20 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -28 + 7a + -5a = -20 + 5a + -5a Combine like terms: 7a + -5a = 2a -28 + 2a = -20 + 5a + -5a Combine like terms: 5a + -5a = 0 -28 + 2a = -20 + 0 -28 + 2a = -20 Add '28' to each side of the equation. -28 + 28 + 2a = -20 + 28 Combine like terms: -28 + 28 = 0 0 + 2a = -20 + 28 2a = -20 + 28 Combine like terms: -20 + 28 = 8 2a = 8 Divide each side by '2'. a = 4 Simplifying a = 4
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