-7(2p+3)-49=4(4p+5)

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Solution for -7(2p+3)-49=4(4p+5) equation:


Simplifying
-7(2p + 3) + -49 = 4(4p + 5)

Reorder the terms:
-7(3 + 2p) + -49 = 4(4p + 5)
(3 * -7 + 2p * -7) + -49 = 4(4p + 5)
(-21 + -14p) + -49 = 4(4p + 5)

Reorder the terms:
-21 + -49 + -14p = 4(4p + 5)

Combine like terms: -21 + -49 = -70
-70 + -14p = 4(4p + 5)

Reorder the terms:
-70 + -14p = 4(5 + 4p)
-70 + -14p = (5 * 4 + 4p * 4)
-70 + -14p = (20 + 16p)

Solving
-70 + -14p = 20 + 16p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-16p' to each side of the equation.
-70 + -14p + -16p = 20 + 16p + -16p

Combine like terms: -14p + -16p = -30p
-70 + -30p = 20 + 16p + -16p

Combine like terms: 16p + -16p = 0
-70 + -30p = 20 + 0
-70 + -30p = 20

Add '70' to each side of the equation.
-70 + 70 + -30p = 20 + 70

Combine like terms: -70 + 70 = 0
0 + -30p = 20 + 70
-30p = 20 + 70

Combine like terms: 20 + 70 = 90
-30p = 90

Divide each side by '-30'.
p = -3

Simplifying
p = -3

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