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Simplifying 2(a + -2) = 49(2a + -4) Reorder the terms: 2(-2 + a) = 49(2a + -4) (-2 * 2 + a * 2) = 49(2a + -4) (-4 + 2a) = 49(2a + -4) Reorder the terms: -4 + 2a = 49(-4 + 2a) -4 + 2a = (-4 * 49 + 2a * 49) -4 + 2a = (-196 + 98a) Solving -4 + 2a = -196 + 98a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-98a' to each side of the equation. -4 + 2a + -98a = -196 + 98a + -98a Combine like terms: 2a + -98a = -96a -4 + -96a = -196 + 98a + -98a Combine like terms: 98a + -98a = 0 -4 + -96a = -196 + 0 -4 + -96a = -196 Add '4' to each side of the equation. -4 + 4 + -96a = -196 + 4 Combine like terms: -4 + 4 = 0 0 + -96a = -196 + 4 -96a = -196 + 4 Combine like terms: -196 + 4 = -192 -96a = -192 Divide each side by '-96'. a = 2 Simplifying a = 2
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