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Simplifying 52(t + 4) = 48(t + -4) Reorder the terms: 52(4 + t) = 48(t + -4) (4 * 52 + t * 52) = 48(t + -4) (208 + 52t) = 48(t + -4) Reorder the terms: 208 + 52t = 48(-4 + t) 208 + 52t = (-4 * 48 + t * 48) 208 + 52t = (-192 + 48t) Solving 208 + 52t = -192 + 48t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-48t' to each side of the equation. 208 + 52t + -48t = -192 + 48t + -48t Combine like terms: 52t + -48t = 4t 208 + 4t = -192 + 48t + -48t Combine like terms: 48t + -48t = 0 208 + 4t = -192 + 0 208 + 4t = -192 Add '-208' to each side of the equation. 208 + -208 + 4t = -192 + -208 Combine like terms: 208 + -208 = 0 0 + 4t = -192 + -208 4t = -192 + -208 Combine like terms: -192 + -208 = -400 4t = -400 Divide each side by '4'. t = -100 Simplifying t = -100
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