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Simplifying 4a + 21 = 4 + 7(a + -1) Reorder the terms: 21 + 4a = 4 + 7(a + -1) Reorder the terms: 21 + 4a = 4 + 7(-1 + a) 21 + 4a = 4 + (-1 * 7 + a * 7) 21 + 4a = 4 + (-7 + 7a) Combine like terms: 4 + -7 = -3 21 + 4a = -3 + 7a Solving 21 + 4a = -3 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 21 + 4a + -7a = -3 + 7a + -7a Combine like terms: 4a + -7a = -3a 21 + -3a = -3 + 7a + -7a Combine like terms: 7a + -7a = 0 21 + -3a = -3 + 0 21 + -3a = -3 Add '-21' to each side of the equation. 21 + -21 + -3a = -3 + -21 Combine like terms: 21 + -21 = 0 0 + -3a = -3 + -21 -3a = -3 + -21 Combine like terms: -3 + -21 = -24 -3a = -24 Divide each side by '-3'. a = 8 Simplifying a = 8
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