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Simplifying -21 + -2a = 6(3a + 7) Reorder the terms: -21 + -2a = 6(7 + 3a) -21 + -2a = (7 * 6 + 3a * 6) -21 + -2a = (42 + 18a) Solving -21 + -2a = 42 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. -21 + -2a + -18a = 42 + 18a + -18a Combine like terms: -2a + -18a = -20a -21 + -20a = 42 + 18a + -18a Combine like terms: 18a + -18a = 0 -21 + -20a = 42 + 0 -21 + -20a = 42 Add '21' to each side of the equation. -21 + 21 + -20a = 42 + 21 Combine like terms: -21 + 21 = 0 0 + -20a = 42 + 21 -20a = 42 + 21 Combine like terms: 42 + 21 = 63 -20a = 63 Divide each side by '-20'. a = -3.15 Simplifying a = -3.15
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